Lyapunov functions for second-order differential inclusions: A viability approach

Authors
Marco, L Murillo, JA
Citation
L. Marco et Ja. Murillo, Lyapunov functions for second-order differential inclusions: A viability approach, J MATH ANAL, 262(1), 2001, pp. 339-354
Citations number
14
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
262
Issue
1
Year of publication
2001
Pages
339 - 354
Database
ISI
SICI code
0022-247X(20011001)262:1<339:LFFSDI>2.0.ZU;2-M
Abstract
In this paper the existence of Lyapunov functions for second-order differen tial inclusions is analyzed by using the methodology of the Viability Theor y. A necessary assumption on the initial states and sufficient conditions f or the existence of local and global Lyapunov functions are obtained. An ap plication is also provided. (C) 2001 Academic Press.